Edit: I just realized that they edited their post. Originally it said "empirical math". Now that it says "empirical measurements" my question is void.

That's not my question... Unless I am completely misunderstanding what is being said.

What does empirical math, specifically, have to do with simulation theory.

I'm not advocating for simulation theory here for what it's worth. I just don't understand what "empirical" math has to do with it. The statement that "empirical math needs to be demonstrated first" is just super weird to me.

I don't know what to do with it. It feels like it's claiming that all math is theoretical... Or that math is a tautology... Or that they think math is incapable of doing something that simulation theory posits or...

So, instead of guessing at some general conclusion of what they are talking about I asked.